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The conservation of energy principles reduces to conserving mechanical energy alone in case of
Question

The conservation of energy principles reduces to conserving mechanical energy alone in case of

A.

Incompressible fluid

B.

Compressible fluid

C.

Isothermal fluid

D.

None of the above

Correct option is A

The conservation of energy principle, as applied in fluid mechanics, is expressed by the Bernoulli equation under specific conditions. The Bernoulli equation represents the conservation of mechanical energy (kinetic, potential, and pressure energy) along a streamline for:
· Steady flow
· Inviscid flow (no friction)
· Incompressible flow (density constant)
For incompressible fluids, the energy equation reduces to the Bernoulli equation, which conserves mechanical energy alone. This is because:
· There is no significant thermal energy change or heat transfer considered.
· The internal energy (thermal component) remains constant, so only mechanical energy forms (kinetic, potential, and flow work) are balanced.

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